Header

UZH-Logo

Maintenance Infos

2D and 3D topological field theories for generalized complex geometry


Cattaneo, A S; Qiu, I; Zabzine, M (2010). 2D and 3D topological field theories for generalized complex geometry. Advances in Theoretical and Mathematical Physics, 14(2):695-725.

Abstract

Using the Alexandrov–Kontsevich–Schwarz–Zaboronsky (AKSZ) prescription we construct 2D and 3D topological field theories associated to generalized complex manifolds. These models can be thought of as 2D and 3D generalizations of A- and B-models. Within the BV framework we show that the 3D model on a two-manifold cross an interval can be reduced to the 2D model.

Abstract

Using the Alexandrov–Kontsevich–Schwarz–Zaboronsky (AKSZ) prescription we construct 2D and 3D topological field theories associated to generalized complex manifolds. These models can be thought of as 2D and 3D generalizations of A- and B-models. Within the BV framework we show that the 3D model on a two-manifold cross an interval can be reduced to the 2D model.

Statistics

Citations

Dimensions.ai Metrics
9 citations in Web of Science®
9 citations in Scopus®
12 citations in Microsoft Academic
Google Scholar™

Altmetrics

Downloads

40 downloads since deposited on 23 Dec 2010
9 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Physical Sciences > General Physics and Astronomy
Language:English
Date:2010
Deposited On:23 Dec 2010 15:59
Last Modified:29 Jul 2020 23:10
Publisher:International Press
ISSN:1095-0753
OA Status:Hybrid
Publisher DOI:https://doi.org/10.4310/ATMP.2010.v14.n2.a9
Related URLs:http://projecteuclid.org/euclid.atmp/1288619156

Download

Hybrid Open Access

Download PDF  '2D and 3D topological field theories for generalized complex geometry'.
Preview
Content: Accepted Version
Filetype: PDF
Size: 1MB
View at publisher